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Finding the Fourth Proportional to 11,032.74, 16,549.11 and 3,247.02

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Solution

The fourth proportional to 11,032.74, 16,549.11 and 3,247.02 is: 4,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.74 : 16,549.11 = 3,247.02 : x
  2. Step 2: Convert to fraction form
    11,032.74/16,549.11 = 3,247.02/x
  3. Step 3: Cross multiply
    11,032.74x = 16,549.11 × 3,247.02
  4. Step 4: Simplify right side
    11,032.74x = 53,735,291.15
  5. Step 5: Solve for x
    x = 53,735,291.15/11,032.74
  6. Step 6: Final answer
    x = 4,870.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.